PLEASE HELP !!!!


Your mom deposits $3500 into an account that pays 4.75% annual interest compounded continuously. How many years will it take for the amount of money in the account to reach $15,000? Just enter a numerical answer for the number of years rounded to the hundredth place.

Answers

Answer 1

Answer:

About 31 years

Step-by-step explanation:

Given data

Principal= $3500

Rate=  4.75%

Final amount= $15,000

Time=??

The expression for time on compound interest is

Calculate time, solve for t

t = ln(A/P) / r

substitute

Calculate time, solve for t

t = ln(15000/3500) / 0.0475

t= ln(4.2857)/ 0.0475

t= 1.4552/0.0475

t= 30.63 years

Hence it will take about 31 years


Related Questions

3. The line segment drawn from a vertex of the triangle to the mid-point of the opposite
side is called
a) altitude
b) median
c) centroid​

Answers

The answer is ‘Centroid’
It is centroid , centroid is the answer

Complete the square of x^2-2x+17

Answers

Answer:

(x - 1)² + 16

Step-by-step explanation:

x² - 2x + 17 = 0

Subtract 17 from both sides of the equation.

x² - 2x = -17

Use the formula (b/2)² to see which number you have to add to both sides.

(-2/2)² = 1

Add 1 to both sides of the equation.

x² - 2x + 1 = -17 + 1

Factor the left side of the equation into a perfect square.

(x - 1)² = -16

Add 16 to both sides of the equation.

(x - 1)² + 16

(x - 1)² + 16 is the equation in standard form (x² - 2x + 17) rewritten by completing the square.

Which equation represents the proportional relationship between the cost, t, in dollars, of p pounds of wood bought? T=0.29pt = 0.29 p t=0.31pt = 0.31 p t=3.45pt = 3.45 p t=3.48p

Answers

Answer:

T = 0.29p

Step-by-step explanation:

From the table Given :

We can obtain the uint cost per pound of wood :

Cost of 12 pounds of wood = $3.48

Cost per pound = Cost / weight

Cost per pound = $3.48 / 12 = $0.29

Hence, the proportional relationship cost, T in dollars and p pounds of wood is ;

Cost = unit cost per pound * number of pounds

T = 0.29 * p

T = 0.29p

True or False: To divide a decimal by a decimal, you must move the decimal in the dividend to
make a whole number.

Answers

Answer:

To divide by a decimal, multiply the divisor by a power of ten to make the divisor a whole number. Then multiply the dividend by the same power of ten. You can think of this as moving the decimal point in the dividend the same number of places to the right as you move the decimal point in the divisor.

help me i am having trouble

Answers

Yes the slope is one fourth.

Pleas help and show work What is the slope-intercept form of the line that passes through the point (-6, 8) and has a slope of 3/2)? y=mx+b =

Answers

Answer:

it's been an hour but it's 17

Find the perimeter.

Answers

Answer:

38

Step-by-step explanation:

Add all the numbers up

?= 5 plus 7 as that's the top of the "rectangle"

Answer:

38mi

Step-by-step explanation:

to find the side you don't know: 7+5=12mi

to find the perimeter: 5+4+7+3+12+7= 38mi

I purchased a new book that was on sale for 40% off. I saved $24.00 because of the sale. What was the original price? (6 points)
Pls Answer I need it for my test thats due Monday

Answers

Answer:

60

Step-by-step explanation:

24 dividend by 4 equals 6.

this means 10% of the original price is 6.

6 times 10 equals 60

hope this helps!!!

Find the solution of the system of equations.
2x + 3y = -2
4x + 9y = 14

Answers

If you need the explanation, message me and I can help you. X= -10
Y= 6

A set of kitchen containers can be stacked to save space. The height of the stack is given by the expression LaTeX: 1.5c+7.61.5 c + 7.6 where c is the number of containers. What is the height of a stack made of 8 containers?____ cm A tower made of all the containers is 40.6 cm tall. How many containers are in the set?______ containers Noah looks at the equation and says, "7.6 must be the height of a single container." Do you agree with Noah? Explain your reasoning.

Answers

Answer:

Part A

The height of the stack made of 8 containers is 19.6 cm

Part B

When the tower is 40.6 cm tall, the number of containers in the set are 22 containers

Part C

(Disagree) The height of a single container is 9.1

Step-by-step explanation:

The question relates to containers, stacked one inside the other such that the height increases by only the wider top edge of the containers

The given expression that gives the height of the stack is presented as follows;

1.5·c + 7.6

Where;

c = The number of containers in the stack

Part A

When there are 8 containers, we have;

h(8) = 1.5 × 8 + 7.6 = 19.6

The height of the stack made of 8 containers, h(8) = 19.6 cm

Part B

When the tower (height of the stack set) is 40.6 cm tall, we have;

h(c) = 1.5·c + 7.6 = 40.6

∴ The number of containers, c = (40.6 - 7.6)/1.5 = 22

When the tower is 40.6 cm tall, the number of containers in the set, c = 22 containers

Part C

Given that the height stack increases only by the thickness of the wider rim of each added container, we have;

The expression for the height of the stack , 1.5·c + 7.6, is the expression for a straight line equation, m·x + c

The thickness of each rim = The slope, of the line, m = The increase in height with number of containers = 1.5

The number of containers (The independent variable, x) = The number of stacked rims = c

The minimum height = The height of a single container = 1.5 × 1 + 7.6 = 9.1

Therefore, the height of a single container = 9.1 not 7.6


If the time now is 4 PM on Saturday, after 253 hours the time will be:
(A) Sun. 5AM
(B)Tues. 5AM
(C) Wed. 1AM
(D) Wed. 5AM

Answers

Answer:

 C I'm pretty sure

Step-by-step explanation:

How many 5/16 foot pieces of wood can you cut from a board that is 1 9/16 feet long?

Answers

Add 16 to 1 9/16 that will then be 25/16 then you divide 5 from 25 that equals 5 so that is your answer

which measurement is closest to the length of one string of lights in feet ??​

Answers

Answer:

17 ft

Step-by-step explanation:

It takes Robert 5 minutes to complete 3 math problems. Use the equation y= x/3 times 5 to find how long it will take Robert to complete 12 math problems. x = math problems; y = minutes

Answers

Answer:

20 minutes

Step-by-step explanation:

y=(12/3)*5=20

Find the value of the variable. If the answer is not an integer, leave it in simplest radical form.

Answers

Answer:

0ption C is your answer

Step-by-step explanation:

by using Pythagoras law

x²=8²+15²

x²=289

x=√289=17

can someone help me answer this I think I know the answer but just to make sure​

Answers

Answer:
x^6
Brainliest?
X^6 nice username lol

HELP PLEASE! TY!!!!!!!!!

Answers

Answer:

Expression: 2m + 2.50

Step-by-step explanation:

This is the expression that shows the total cost of Jose's trip.

The "2m" is because he has to pay $2 per each mile (m) he travels. The "+ 2.50" is because Jose has to pay $2.50 for the flag fall as well.

Hope it helps!

can measurement 6cm, 8cm, and 14 cm create a triangle

Answers

Answer:

No

Step-by-step explanation:

No we will not do that.

Solve the inequality.

4.5 > m / 6

Answers

multiply to remove the fraction
m < 27 is the inequality

Answer:

The answer is m<27 or ((-∞)infinity symbol, 27)

Step-by-step explanation:

Multiply to remove the fraction, then set equal to ) and solve

treinte + catorce = ??

Answers

Answer:

cuarenta y cuatro = 44

Step-by-step explanation:

treinta + catorce = cuarenta y cuatro

30 + 14 = 44

Qué tengas un lindo día

Have a great day

Determine whether or not each set of side lengths would form a right triangle.

Answers

Answer:

6,6,12 -not a right angle

8,15,17 - right angle

9,16,21 - not a right angle

10,24,26 - right angle

1. not a right triangle
2. right triangle
3. not a right triangle
4. right triangle
(I attached the work just incase you need it!!)

classify this triangle​

Answers

Answer:

Acyte, Scalene. please mark brainliest when its correct:)

Answer:

acute scalene

Step-by-step explanation:

The best guess is a acute scalene because the measure of the angles aren't shown. However, when you have both the measure of sides and angles, you can use the following image can help you classify triangles :


Can someone please help what’s the common difference

Answers

Step-by-step explanation:

The answer is

[tex] \frac{1}{3} [/tex]

The number keeps subtractrating 1/3 when we go to the right.

Answer:

[tex] - \frac{1}{3} [/tex]

Step-by-step explanation:

Common difference

[tex] = 3 \frac{2}{3} - 4 \\ \\ = \frac{11}{3} - 4 \\ \\ = \frac{11 - 12}{3} \\ \\ = - \frac{1}{3} [/tex]

Which expression are equivalent to - -r/8

Answers

Answer:

r/8

Step-by-step explanation:

Guys I need no help but like wut is 2+2 =?
A.4
B. Fish
C. 22

Answers

Answer:

[tex]4[/tex]

Step-by-step explanation:

[tex]2 + 2 \\ = 4[/tex]

Timmy brought $20 to Garfinkels and spent $11.95 on dinner and bought a soda and paid the tip. He spent the same amount on his soda as he did on the tip. If he leaves with $2.05, how much was his soda?

Answers

Answer:

$3

Step-by-step explanation:

You subtract the amount spent on dinner from the whole - 20 - 11.95 = 8.05

Then you subtract the amount remaining - 8.05 - 2.05 = 6

Then divide by two because they are both the same price - 6/2 = 3

Answer:

3$ and the tip would be 2$ I belive

Step-by-step explanation:

x + 4y = 16 and 2x + 12y = 48 What is the value of x+y in the solution of the system?

Answers

Answer:

x = − 4y + 16

x = − 6y + 24

Step-by-step explanation:

Let's solve for x.

x + 4y = 16

Step 1: Add -4y to both sides.

x + 4y + − 4y = 16 + − 4y

x = − 4y + 16

Answer:

x = − 4y + 16

Let's solve for x.

2x + 12y = 48

Step 1: Add -12y to both sides.

2x + 12y + − 12y = 48 + − 12y/2x= − 12y + 48

Step 2: Divide both sides by 2.

2x/2 = − 12y + 48/2x = − 6y + 24

Answer: x = − 6y + 24

( I hope this was helpful) >;D

The quotient of 36 and 3 is j.

Answers

Answer:

j= 12

Step-by-step explanation:

j = 36/3

j = 12

multiply (5x^2-6x+2) x (4x^2-3x)

Answers

Answer:

[tex]20x^{4} - 39x^{3} + 26x^{2} - 6x[/tex]

hope this helps

Solve the proportion

x/15 = 3/9

Answers

Answer:

5

Step-by-step explanation:

x/5=3/9

9x=45

x=45/9

x=5

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